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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb. (N.S.), 1970 Volume 82(124), Number 2(6), Pages 213–219 (Mi sm3444)

This article is cited in 1 paper

A three spheres theorem for an elliptic equation of high order

E. G. Sitnikova


Abstract: In the sphere $Q\subset\mathbf R^n$ of unit radius we consider a uniformly elliptic equation of order $2m$ with simple complex characteristics and with coefficients in $C^{2m}$ satisfying a supplementary condition. Concerning continuous dependence on the initial conditions we prove a theorem that is analogous to Hadamard's three circle theorem in the theory of analytic functions.
Bibliography: 8 titles.

UDC: 517.946

MSC: 35J35, 35J40, 57M35, 35G10

Received: 18.06.1969


 English version:
Mathematics of the USSR-Sbornik, 1970, 11:2, 189–195

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